Exponents

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 5², 5 is the base and 2 is the exponent.

Front

What is the product of powers property?

Back

When multiplying two powers with the same base, you add the exponents. For example, a^m • a^n = a^(m+n).

Front

What is the power of a power property?

Back

When raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is the power of a product property?

Back

When raising a product to a power, you apply the exponent to each factor. For example, (ab)^n = a^n • b^n.

Front

What is the quotient of powers property?

Back

When dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

What is zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, a^0 = 1.

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent. For example, a^(-n) = 1/a^n.

Front

Calculate (2^3)^2.

Back

(2^3)^2 = 2^(3*2) = 2^6 = 64.

Front

Calculate 3^4 / 3^2.

Back

3^4 / 3^2 = 3^(4-2) = 3^2 = 9.

Front

What is the value of (x^5)(x^3)?

Back

(x^5)(x^3) = x^(5+3) = x^8.